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//SPDX-License-Identifier: MIT
pragma solidity 0.8.4;

import "./interfaces/IInterestRateModel.sol";

/**
 * @title 0VIX's JumpRateModel Contract
 * @author 0VIX
 */
contract JumpRateModel is IInterestRateModel {
    bool public constant override isInterestRateModel = true;

    /**
     * @notice The approximate number of timestamps per year that is assumed by the interest rate model
     */
    uint256 public constant timestampsPerYear = 31536000;

    /**
     * @notice The multiplier of utilization rate that gives the slope of the interest rate
     */
    uint256 public immutable multiplierPerTimestamp;

    /**
     * @notice The base interest rate which is the y-intercept when utilization rate is 0
     */
    uint256 public immutable baseRatePerTimestamp;

    /**
     * @notice The multiplierPerTimestamp after hitting a specified utilization point
     */
    uint256 public immutable jumpMultiplierPerTimestamp;

    /**
     * @notice The utilization point at which the jump multiplier is applied
     */
    uint256 public immutable kink;

    /**
     * @notice Construct an interest rate model
     * @param baseRatePerYear The approximate target base APR, as a mantissa (scaled by 1e18)
     * @param multiplierPerYear The rate of increase in interest rate wrt utilization (scaled by 1e18)
     * @param jumpMultiplierPerYear The multiplierPerTimestamp after hitting a specified utilization point
     * @param kink_ The utilization point at which the jump multiplier is applied
     */
    constructor(
        uint256 baseRatePerYear,
        uint256 multiplierPerYear,
        uint256 jumpMultiplierPerYear,
        uint256 kink_
    ) {
        baseRatePerTimestamp =
            (baseRatePerYear * 1e18) /
            timestampsPerYear /
            1e18;
        multiplierPerTimestamp =
            (multiplierPerYear * 1e18) /
            timestampsPerYear /
            1e18;
        jumpMultiplierPerTimestamp =
            (jumpMultiplierPerYear * 1e18) /
            timestampsPerYear /
            1e18;
        kink = kink_;
    }

    /**
     * @notice Calculates the utilization rate of the market: `borrows / (cash + borrows - reserves)`
     * @param cash The amount of cash in the market
     * @param borrows The amount of borrows in the market
     * @param reserves The amount of reserves in the market (currently unused)
     * @return The utilization rate as a mantissa between [0, 1e18]
     */
    function utilizationRate(
        uint256 cash,
        uint256 borrows,
        uint256 reserves
    ) public pure returns (uint256) {
        // Utilization rate is 0 when there are no borrows
        if (borrows == 0) {
            return 0;
        }

        return (borrows * 1e18) / (cash + borrows - reserves);
    }

    /**
     * @notice Calculates the current borrow rate per timestmp, with the error code expected by the market
     * @param cash The amount of cash in the market
     * @param borrows The amount of borrows in the market
     * @param reserves The amount of reserves in the market
     * @return The borrow rate percentage per timestmp as a mantissa (scaled by 1e18)
     */
    function getBorrowRate(
        uint256 cash,
        uint256 borrows,
        uint256 reserves
    ) public view override returns (uint256) {
        uint256 util = utilizationRate(cash, borrows, reserves);

        if (util <= kink) {
            return
                ((util * multiplierPerTimestamp) / 1e18) + baseRatePerTimestamp;
        } else {
            uint256 normalRate = ((kink * multiplierPerTimestamp) / 1e18) +
                baseRatePerTimestamp;
            uint256 excessUtil = util - kink;
            return
                ((excessUtil * jumpMultiplierPerTimestamp) / 1e18) + normalRate;
        }
    }

    /**
     * @notice Calculates the current supply rate per timestmp
     * @param cash The amount of cash in the market
     * @param borrows The amount of borrows in the market
     * @param reserves The amount of reserves in the market
     * @param reserveFactorMantissa The current reserve factor for the market
     * @return The supply rate percentage per timestmp as a mantissa (scaled by 1e18)
     */
    function getSupplyRate(
        uint256 cash,
        uint256 borrows,
        uint256 reserves,
        uint256 reserveFactorMantissa
    ) public view override returns (uint256) {
        uint256 oneMinusReserveFactor = uint256(1e18) - reserveFactorMantissa;
        uint256 borrowRate = getBorrowRate(cash, borrows, reserves);
        uint256 rateToPool = (borrowRate * oneMinusReserveFactor) / 1e18;
        return (utilizationRate(cash, borrows, reserves) * rateToPool) / 1e18;
    }
}

//SPDX-License-Identifier: MIT
pragma solidity 0.8.4;

/**
  * @title 0VIX's IInterestRateModel Interface
  * @author 0VIX
  */
interface IInterestRateModel {
    /// @notice Indicator that this is an InterestRateModel contract (for inspection)
    function isInterestRateModel() external view returns(bool);

    /**
      * @notice Calculates the current borrow interest rate per timestmp
      * @param cash The total amount of cash the market has
      * @param borrows The total amount of borrows the market has outstanding
      * @param reserves The total amount of reserves the market has
      * @return The borrow rate per timestmp (as a percentage, and scaled by 1e18)
      */
    function getBorrowRate(uint cash, uint borrows, uint reserves) external view returns (uint);

    /**
      * @notice Calculates the current supply interest rate per timestmp
      * @param cash The total amount of cash the market has
      * @param borrows The total amount of borrows the market has outstanding
      * @param reserves The total amount of reserves the market has
      * @param reserveFactorMantissa The current reserve factor the market has
      * @return The supply rate per timestmp (as a percentage, and scaled by 1e18)
      */
    function getSupplyRate(uint cash, uint borrows, uint reserves, uint reserveFactorMantissa) external view returns (uint);

}

{
  "optimizer": {
    "enabled": true,
    "runs": 10
  },
  "outputSelection": {
    "*": {
      "*": [
        "evm.bytecode",
        "evm.deployedBytecode",
        "devdoc",
        "userdoc",
        "metadata",
        "abi"
      ]
    }
  },
  "libraries": {}
}

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[{"inputs":[{"internalType":"uint256","name":"baseRatePerYear","type":"uint256"},{"internalType":"uint256","name":"multiplierPerYear","type":"uint256"},{"internalType":"uint256","name":"jumpMultiplierPerYear","type":"uint256"},{"internalType":"uint256","name":"kink_","type":"uint256"}],"stateMutability":"nonpayable","type":"constructor"},{"inputs":[],"name":"baseRatePerTimestamp","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"cash","type":"uint256"},{"internalType":"uint256","name":"borrows","type":"uint256"},{"internalType":"uint256","name":"reserves","type":"uint256"}],"name":"getBorrowRate","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"cash","type":"uint256"},{"internalType":"uint256","name":"borrows","type":"uint256"},{"internalType":"uint256","name":"reserves","type":"uint256"},{"internalType":"uint256","name":"reserveFactorMantissa","type":"uint256"}],"name":"getSupplyRate","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"isInterestRateModel","outputs":[{"internalType":"bool","name":"","type":"bool"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"jumpMultiplierPerTimestamp","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"kink","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"multiplierPerTimestamp","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[],"name":"timestampsPerYear","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"view","type":"function"},{"inputs":[{"internalType":"uint256","name":"cash","type":"uint256"},{"internalType":"uint256","name":"borrows","type":"uint256"},{"internalType":"uint256","name":"reserves","type":"uint256"}],"name":"utilizationRate","outputs":[{"internalType":"uint256","name":"","type":"uint256"}],"stateMutability":"pure","type":"function"}]

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000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001bc16d674ec80000000000000000000000000000000000000000000000000000f207539952d00000000000000000000000000000000000000000000000000000b1a2bc2ec500000

-----Decoded View---------------
Arg [0] : baseRatePerYear (uint256): 0
Arg [1] : multiplierPerYear (uint256): 125000000000000000
Arg [2] : jumpMultiplierPerYear (uint256): 1090000000000000000
Arg [3] : kink_ (uint256): 800000000000000000

-----Encoded View---------------
4 Constructor Arguments found :
Arg [0] : 0000000000000000000000000000000000000000000000000000000000000000
Arg [1] : 00000000000000000000000000000000000000000000000001bc16d674ec8000
Arg [2] : 0000000000000000000000000000000000000000000000000f207539952d0000
Arg [3] : 0000000000000000000000000000000000000000000000000b1a2bc2ec500000